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Sample size estimation for achieving the desired uncertainty for estimates of tree fine root trait parameters

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This study investigates efficient strategies for fine tree root sampling, in terms of estimating root trait parameters with desired confidence intervals for least effort and cost.

Abstract

Sampling tree roots is difficult and costly with high variation among samples and wide confidence intervals for parameter estimates. Efficient strategies for fine tree root sampling will estimate root trait parameters with the desired confidence interval for least effort and cost. We compared alternative strategies to sample and estimate fine root surface area density; (1) collecting samples at intervals of 10 cm to a depth of 150 cm for entire tree root systems versus (2) independently taking samples from different randomly-selected 10-cm depth intervals around different trees. We also quantified the pilot sample size needed to reliably estimate the number of samples that would achieve the desired confidence interval. Efficiency of sampling entire tree root systems versus independent samples depended on the structure of the sample data. Pilot sample sizes > 5 per 10-cm soil depth can give reliable estimates of sample sizes required to achieve a 95% confidence interval of ± 10% of the sample mean. The statistical strategies in this paper are not particularly novel or difficult, but are seldom applied to root studies. We contend that they should be used, both to guide efficiency in sampling design and also to assess how realistic it is to expect that estimated sample means will be reliable, in the sense of having confidence intervals of the required width.

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Acknowledgements

This work was jointly supported by the Fundamental Research Funds for the Central Universities [Grant number 2018ZY26] and the National Natural Science Foundation of China [Grant number 301872702]. The authors would like to acknowledge the work of the anonymous reviewers, which has helped to substantially improve this paper.

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Correspondence to Elena Moltchanova.

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Communicated by K. Noguchi.

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Xi, B., Di, N., Bloomberg, M. et al. Sample size estimation for achieving the desired uncertainty for estimates of tree fine root trait parameters. Trees 35, 347–356 (2021). https://doi.org/10.1007/s00468-020-02032-4

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